%A DENG Li-jin
%T Characterization of Non-Linear Isometries(Chinese)
%0 Journal Article
%D 2006
%J Journal of East China Normal University(Natural Science)
%R
%P 8-12
%V 2006
%N 5
%U {https://xblk.ecnu.edu.cn/CN/abstract/article_24179.shtml}
%8
%X This paper studied the characterization of non-linear isometries between infinite dimensional Banach spaces.Under the assumption that the range space is strictly convex, it was proved that *f*:X-->Y is an isometry <＝＝> it preserves the distance a,b,ma+nb for a,b∈R^{+}, m,n∈N. Thus in some sense the Aleksandrov

problem was solved.